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Finding the Fourth Proportional to 32,182.16, 44,410.15 and 17,646.28

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Solution

The fourth proportional to 32,182.16, 44,410.15 and 17,646.28 is: 24,351.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,182.16 : 44,410.15 = 17,646.28 : x
  2. Step 2: Convert to fraction form
    32,182.16/44,410.15 = 17,646.28/x
  3. Step 3: Cross multiply
    32,182.16x = 44,410.15 × 17,646.28
  4. Step 4: Simplify right side
    32,182.16x = 783,673,928.05
  5. Step 5: Solve for x
    x = 783,673,928.05/32,182.16
  6. Step 6: Final answer
    x = 24,351.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.